In this paper we introduce a class of noncommutative (finitely generated) monomial algebras whose Hilbert series are algebraic functions. We use the concept of graded homology and the theory of unambiguous context-free grammars for this purpose. We also provide examples of finitely presented graded algebras whose corresponding leading monomial algebras belong to the proposed class and hence possess algebraic Hilbert series.
Noncommutative algebras, context-free grammars and algebraic Hilbert series
La Scala R.
;
2020-01-01
Abstract
In this paper we introduce a class of noncommutative (finitely generated) monomial algebras whose Hilbert series are algebraic functions. We use the concept of graded homology and the theory of unambiguous context-free grammars for this purpose. We also provide examples of finitely presented graded algebras whose corresponding leading monomial algebras belong to the proposed class and hence possess algebraic Hilbert series.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
LaScalaPiontkovskiTiwari_JSC.pdf
non disponibili
Tipologia:
Documento in Versione Editoriale
Licenza:
NON PUBBLICO - Accesso privato/ristretto
Dimensione
512.39 kB
Formato
Adobe PDF
|
512.39 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
|
algHilbJSC2.pdf
accesso aperto
Descrizione: preprint
Tipologia:
Documento in Pre-print
Licenza:
Creative commons
Dimensione
400.65 kB
Formato
Adobe PDF
|
400.65 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
